 | Schoolmaster - 1836 - 926 Seiten
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek '.y.xrepa.... | |
 | John Playfair - 1837 - 332 Seiten
...another, and likewise those which are terminated in the other extremity equal to one another. PROP. VIII. THEOR. -, If two triangles have two sides of the one...sides of the other, each to each, and have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal to the... | |
 | Euclid, James Thomson - 1837 - 410 Seiten
...straight line AB, the angle A is made equal to the given angle C : which was to be done, f PROP. XXIV. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angles contained by those sides unequal : the base of that which has the greater angle is greater... | |
 | Andrew Bell - 1837 - 290 Seiten
...one triangle is upon a side of the other, needs no demonstration. PROPOSITION VIII. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle which is contained by the two sides of the one shall be equal to the angle... | |
 | Charles Reiner - 1837 - 246 Seiten
...when three sides of the one are equal to three sides of the other, each to each. 5. Again : if two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other, the angle contained by the sides of that... | |
 | Euclides - 1837 - 112 Seiten
...angle equal to a given rectilineal angle. Proved by Proposition VIII. PROPOSITION XXIV. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by two sides of one of them greater than the angle contained by the two sides... | |
 | Charles Reiner - 1837 - 254 Seiten
...what will necessarily be concluded with respect to their third sides or bases, ef and be? P.—If two triangles have two sides of the one equal to two sides of the other, each to each—but, the angle contained by the two sides of the one greater than the angle contained by the... | |
 | Edward Tagart - 1837 - 156 Seiten
...question within a certain class, viz. the class of angles subtended by equal bases, in triangles which have two sides of the one equal to two sides of the other, of which equality is demonstrated ia the fourth proposition : and let us remember that every... | |
 | Robert Simson - 1838 - 434 Seiten
...equal to one another, and likewise those which are terminated in the other extremity. QED PROP. VIII. THEOR. IF two triangles have two sides of the one...sides of the other, each to each, and have likewise their bases equal; the angle which is contained by the two sides of the one shall be equal to the angle... | |
 | Euclides - 1838 - 264 Seiten
...sufficiently long for this. It must of course be produced. PROP. XXIV. THEOR. If two triangles haee two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained ky the two... | |
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If two triangles have two sides of the one equal to two sides of the... 
